Question

What is the equation standard form of through (2,-4))and the slope is -4

Answer 1

4x + y = 4

First we can use the info to make a slope intercept form equation

y = -4x +4 (since slope is -4 and when x= 2, y = -4)

then change to slope intercept form (ax + by = c)

4x + y = 4

Answer 2

4x + y = 4

Explanation:

Equation of Line in point slope form is given as:

`y - y_1= m(x-x_1)`

Plug
`x_1= 2\: and\: y_1= - 4` in the above equation we find:

`y - ( - 4) = - 4(x - 2) \\ \\ y + 4 = - 4x + 8 \\ \\ 4x + y + 4 - 8 = 0 \\ \\ 4x + y - 4 = 0 \\ \\ 4x + y = 4 \\this \: is \: the \: required \: equation.`